Optimized Binomial Quantum States of Complex Oscillators with Real Spectrum

Abstract

Classical and nonclassical states of quantum complex oscillators with real spectrum are presented. Such states are bi-orthonormal superpositions of $n+1$ energy eigenvectors of the system with binomial-like coefficients. For large values of $n$ these optimized binomial states behave as photon added coherent states when the imaginary part of the potential is cancelled.

References in corpus (2)

• Negativity of the Wigner function as an indicator of nonclassicality
• New supersymmetry-generated complex potentials with real spectra

Cited by in corpus (5)

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• Constructing Squeezed States of Light with Associated Hermite Polynomials
• Superpositions of bright and dark solitons supporting the creation of balanced gain and loss optical potentials
• Quantifying athermality and quantum induced deviations from classical fluctuation relations